Scaling, Universality, and Geomorphology

By Peter Sheridan Dodds, D. Rothman. 2000

299 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Earth-Surface Processes, Management, Monitoring, Policy and Law

View Paper: https://www.semanticscholar.org/paper/6989645357473216517f3b3bf30bd61ac2d9e5ae

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In Artificial Intelligence

In Earth-Surface Processes

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In Management, Monitoring, Policy and Law

Citations in the corpus

Statistical mechanics of complex networks (2001, background): “In addition, an interesting link has recently been found (Caldarelli et al., 2000) to river networks, a much-studied topic in statistical mechanics (see Banavar et al., 1999; Dodds and Rothman 2000, 2001a, 2001b, 2001c).”
On dimensionless numbers (2008, unknown): “Articles on DA): Astarita, 1997, Boucher and Alves, 1959, 1963, Buckingham, 1914, 1915, Cheng and Cheng, 2004, Dodds and Rothman, 2000, Gunther, 1975, Gunther and Morgado, 2003, Klinkenberg, 1955, Lykoudis, 1990, Macagno, 1971, Prothero, 2002, Rozen and Kostanyan, 2002, Sandler, 1970, Sjoberg,…”
The Broken Past: Fractals in Archaeology (2005, background): “Fractal geometry has brought fundamental changes in the understanding of geomorphology, particularly in the study of topography, river networks, and coastlines (Baas, 2002; Dodds and Rothman, 2000).”
Spectral signatures of characteristic spatial scales and nonfractal structure in landscapes (2008, background): “…or self-affinity of topographic surfaces often note that this property only holds within a certain range of spatial wavelengths [Church and Mark, 1980;Mark and Aronson, 1984; Gilbert, 1989;Moore et al., 1993; Xu et al., 1993; Evans and McClean, 1995; Gallant, 1997; Dodds and Rothman, 2000].”
Are American rivers Tokunaga self‐similar? New results on fluvial network topology and its climatic dependence (2013, background): “[14] The topological Horton laws, widely observed in hydrological and biological networks [Turcotte et al., 1998; Horton, 1945; Veitzer and Gupta, 2000; Dodds and Rothman, 2000], state, in their ultimate form, the equality of the ratios of various branch statistics for two consecutive orders.”